On the High-dimensional Bak-Sneppen model

Abstract

We report on extensive numerical simulations on the Bak-Sneppen model in high dimensions. We uncover a very rich behavior as a function of dimensionality. For d>2 the avalanche cluster becomes fractal and for d \ge 4 the process becomes transient. Finally the exponents reach their mean field values for d=d_c=8, which is then the upper critical dimension of the Bak Sneppen model.

4 pages, 3 eps figures

References in corpus (1)

• Expansion Around the Mean-Field Solution of the Bak-Sneppen Model

Cited by in corpus (18)

• Self-organized network evolution coupled to extremal dynamics
• Universal 1/f Noise from Dissipative SOC Models
• Power spectrum of mass and activity fluctuations in a sandpile
• Critical exponents of the anisotropic Bak-Sneppen model
• d_c=4 is the upper critical dimension for the Bak-Sneppen model
• Bak-Sneppen model near zero dimension
• Self-Organization and Complex Networks
• On the thresholds, probability densities, and critical exponents of Bak-Sneppen-like models
• On singular probability densities generated by extremal dynamics
• Branching Process in a Stochastic Extremal Model
• Wealth distribution of simple exchange models coupled with extremal dynamics
• Levy-Nearest-Neighbors Bak-Sneppen Model
• Damage spreading in 2-dimensional isotropic and anisotropic Bak-Sneppen models
• Asymmetric dynamics and critical behavior in the Bak-Sneppen model
• Conservation of population size is required for self-organized criticality in evolution models
• Kinetic description of avalanching systems
• A Self-organized model for network evolution
• Critical behavior of a stochastic anisotropic Bak-Sneppen model